Obama’s pronunciation is more correct than most Americans, who say PACK-ISS-TAN. Obama’s mother worked in Pakistan for some time, and he visited Pakistan when he was young, which is why I guess he’s familiar with the native pronunciation.
The actual pronunciation of the T in PakisTan is different from how any American says it. Here’s my previous explanation on the dope about it:
And here’s some more trivia: -stan (from Sanskrit) means place, e.g.:
Afghanistan = Place of the Afghanis
Hindustan (India) = Place of the Hindus